{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import tree\n",
    "from sklearn.ensemble import AdaBoostClassifier   # adaboost分类器\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.datasets import make_gaussian_quantiles  #自带生成数据方法\n",
    "from sklearn.metrics import classification_report"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 生成2维正态分布，生成的数据按分位数分为两类，500个样本,2个样本特征，2个类别\n",
    "x1, y1 = make_gaussian_quantiles(n_samples=500, n_features=2,n_classes=2)\n",
    "# 生成2维正态分布，生成的数据按分位数分为两类，500个样本,2个样本特征均值都为3\n",
    "# mean=(3, 3)中心点3,3，默认是0,0\n",
    "x2, y2 = make_gaussian_quantiles(mean=(3, 3), n_samples=500, n_features=2, n_classes=2)\n",
    "# 将两组数据合成一组数据\n",
    "x_data = np.concatenate((x1, x2))\n",
    "y_data = np.concatenate((y1, - y2 + 1))  # 标签组合，y取值0和1，改变后1和0\n",
    "# y_data = np.concatenate((y1, y2))   # 见上，处理后的图形分明"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 决策树模型，深度为3\n",
    "model = tree.DecisionTreeClassifier(max_depth=3)\n",
    "\n",
    "# 输入数据建立模型\n",
    "model.fit(x_data, y_data)\n",
    "\n",
    "# 获取数据值所在的范围\n",
    "x_min, x_max = x_data[:, 0].min() - 1, x_data[:, 0].max() + 1\n",
    "y_min, y_max = x_data[:, 1].min() - 1, x_data[:, 1].max() + 1\n",
    "\n",
    "# 生成网格矩阵\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.02),\n",
    "                     np.arange(y_min, y_max, 0.02))\n",
    "\n",
    "z = model.predict(np.c_[xx.ravel(), yy.ravel()])# ravel与flatten类似，多维数据转一维。flatten不会改变原始数据，ravel会改变原始数据\n",
    "z = z.reshape(xx.shape)\n",
    "# 等高线图\n",
    "cs = plt.contourf(xx, yy, z)\n",
    "# 样本散点图\n",
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.765"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 模型准确率\n",
    "model.score(x_data,y_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# AdaBoost模型，深度为3，迭代10次\n",
    "model = AdaBoostClassifier(DecisionTreeClassifier(max_depth=3),n_estimators=10)\n",
    "# 训练模型\n",
    "model.fit(x_data, y_data)\n",
    "\n",
    "# 获取数据值所在的范围\n",
    "x_min, x_max = x_data[:, 0].min() - 1, x_data[:, 0].max() + 1\n",
    "y_min, y_max = x_data[:, 1].min() - 1, x_data[:, 1].max() + 1\n",
    "\n",
    "# 生成网格矩阵\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.02),\n",
    "                     np.arange(y_min, y_max, 0.02))\n",
    "\n",
    "# 获取预测值\n",
    "z = model.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "z = z.reshape(xx.shape)\n",
    "# 等高线图\n",
    "cs = plt.contourf(xx, yy, z)\n",
    "# 样本散点图\n",
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.989"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 模型准确率\n",
    "model.score(x_data,y_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
